JEE Main & Advanced Sample Paper JEE Main Sample Paper-36

  • question_answer
    An alternating voltage E (in volt) \[200\sqrt{2}\sin \]  \[100t\] connected to one microfarad capacitor through an A.C. ammeter. The reading of the ammeter shall be

    A)  \[20\sqrt{2}mA\]                      

    B)  \[20\,mA\]

    C)  \[40\,mA\]                    

    D)  \[80\,mA\]

    Correct Answer: B

    Solution :

      \[{{X}_{C}}=\frac{1}{\omega C};\,{{E}_{rms}}=\frac{{{E}_{0}}}{\sqrt{2}};\] \[{{E}_{0}}=200\sqrt{2};\]        \[{{E}_{rms}}=200;\] \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{100\times {{10}^{-6}}}={{10}^{4}}\Omega \] \[V=IR\]  or     \[\frac{200}{{{10}^{4}}}I=20mA\]


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